Q157 / 160 · TS EAMCET 2004 · Physics

Consider the following two statements, $A$ and $B$ and identify the correct answer given below: A. Nuclear density is same for all nuclei B. Radius of the nucleus $R$ and its mass number $A$ are related as $\sqrt{A} \propto R^{1 / 6}$.

  • A
    Both $\mathrm{A}$ and $\mathrm{B}$ are true
  • B
    Both $\mathrm{A}$ and $\mathrm{B}$ are false
  • Correct answer
    C
    $\mathrm{A}$ is true but $\mathrm{B}$ is false
  • D
    $\mathrm{A}$ is false but $\mathrm{B}$ is true

Solution

Nuclear density for all nuclei is same and equal to $10^{17} \mathrm{~kg} / \mathrm{m}^3$ Radius of nucleus and mass number are related as $R=R_0(A)^{1 / 3} \text { or } R \propto(A)^{1 / 3}$ Thus, (A) is true and (B) is false.

Hence, the correct answer is option: 'C'.

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